A Quadratic Programming Formulation for the Solution of Layered Elastic Contact Problems: Example Applications and Experimental Validation

S. Reina (1) , D. Dini (1) , D.A. Hills (2) , Y. Iida (1)

1 Department of Mechanical Engineering [Imperial College London]
2 Department of Engineering Science

The development of a quadratic programming formulation for the solution of layered elastic contact problems in the presence of friction is presented in this paper. Conveyor belts, tyred wheels, composite cylinders, and conrod bearings, are classical examples of systems which can be studied using the efficient numerical methodology proposed here. In this type of mechanical assembly, micro-slip between the mating surfaces often occurs and may eventually lead to system failure. Accurately capturing the evolution of slip and stick areas using a computationally inexpensive procedure (as an alternative to full finite element analysis) is therefore key to preventing these failures and to improving the design of various engineering components.

Mots clés: Layered Systems; Rolling Contact; Integral Transforms; Quadratic Programming; Frictional Creep

Domaines: Mécanique des solides [physics.class-ph]; Mécanique des solides [physics.class-ph]

S. Reina, D. Dini, D.A. Hills, Y. Iida. A Quadratic Programming Formulation for the Solution of Layered Elastic Contact Problems: Example Applications and Experimental Validation. European Journal of Mechanics - A/Solids, 2011, ⟨10.1016/j.euromechsol.2010.12.003⟩. ⟨hal-00734534⟩